SOLVING THE FUZZY ANTAGONISTIC 2 × 2-GAME

V. V. Romanuk

Abstract


There has been represented a concept of solving the antagonistic 2 × 2-game, whose matrix elements are defined in the form of non-one-element sets. It has been revealed that the solution of such fuzzy game may be a special intersection of solutions of all ordinary 2 × 2-games, whose matrices elements constitute those sets. For cases when such intersection appears to be empty, it is suggested to use a fuzzy solution of a fuzzy 2 × 2- game. If this solution is unacceptable, a noncooperative metagame is constructed, the solution of which will contain the optimal behavior of both players in the initial fuzzy 2 × 2-game.

Keywords


modeling within uncertainty, decision making within uncertainty, fuzzy 2 × 2-game, noncooperative metagame, optimal behavior.

GOST Style Citations






DOI: https://doi.org/10.15588/1607-3274-2011-1-13



Copyright (c) 2014 V. V. Romanuk

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